SOLUTION: Write the equation of the circle in standard form and give the center and radius. 4x^2+4y^2-4x-8y-1=0

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Question 894166: Write the equation of the circle in standard form and give the center and radius.
4x^2+4y^2-4x-8y-1=0
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
I will only take this part of the way and you can finish it:




You need to Complete The Squares.
The term for x is
The term for y is

, note that is equivalent to adding the two square terms to both sides of the equation.


.
.
Now, you continue and finish.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Write the equation of the circle in standard form and give the center and radius.
4x^2+4y^2-4x-8y-1=0 


Equation of circle, in center-radius form: 

Center coordinates:  (h, k), or (, )

, so radius is: , or 

You can do the check!! 



If you need a complete and detailed solution, let me know!!



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